Question

the scales on the maps of hershey park are all 1 to 80. which of the following scales are equivalent to 1 to 80 and would be appropriate for a scale drawing? press on an item in the answer box, and then press on the box under the corresponding category. to remove an item, you can press on the box and the trash can icon at the right of the item you want to remove. equivalent and appropriate not equivalent equivalent but not appropriate answer bank 0.8 foot to 1 foot 1 foot to 80 feet 1 kilometer to 80 kilometers 1 inch to 80 inches 2 centimeters to 160 meters 1 mile to 80 miles 1 inch to 80 feet 1 inch to 6 2/3 feet

Explanation:

Step1: Recall scale - equivalence concept

A scale of 1 to 80 means the ratio of the length on the drawing to the actual length is $\frac{1}{80}$. We need to check each option's ratio.

Step2: Analyze 0.8 foot to 1 foot

The ratio is $\frac{0.8}{1}=\frac{4}{5}
eq\frac{1}{80}$, so it's not equivalent.

Step3: Analyze 1 foot to 80 feet

The ratio is $\frac{1}{80}$, and it's appropriate for a scale - drawing as it's in a common length - unit ratio for maps.

Step4: Analyze 1 kilometer to 80 kilometers

The ratio is $\frac{1}{80}$, but kilometers are too large for a park - map scale, so it's equivalent but not appropriate.

Step5: Analyze 1 inch to 80 inches

The ratio is $\frac{1}{80}$, and it's appropriate for a scale - drawing as inches are a common unit for small - scale maps.

Step6: Analyze 2 centimeters to 160 meters

First, convert 160 meters to centimeters: 160 m = 16000 cm. The ratio is $\frac{2}{16000}=\frac{1}{8000}
eq\frac{1}{80}$, so it's not equivalent.

Step7: Analyze 1 mile to 80 miles

The ratio is $\frac{1}{80}$, but miles are too large for a park - map scale, so it's equivalent but not appropriate.

Step8: Analyze 1 inch to 80 feet

First, convert 80 feet to inches. Since 1 foot = 12 inches, 80 feet = 960 inches. The ratio is $\frac{1}{960}
eq\frac{1}{80}$, so it's not equivalent.

Step9: Analyze 1 inch to $6\frac{2}{3}$ feet

Convert $6\frac{2}{3}$ feet to inches. $6\frac{2}{3}=\frac{20}{3}$ feet, and $\frac{20}{3}\times12 = 80$ inches. The ratio is $\frac{1}{80}$, and it's appropriate for a scale - drawing.

Answer:

equivalent and appropriate: 1 foot to 80 feet, 1 inch to 80 inches, 1 inch to $6\frac{2}{3}$ feet
equivalent but not appropriate: 1 kilometer to 80 kilometers, 1 mile to 80 miles
not equivalent: 0.8 foot to 1 foot, 2 centimeters to 160 meters, 1 inch to 80 feet